21221123302033 has 16 divisors (see below), whose sum is σ = 22169846724480. Its totient is φ = 20274586142976.

The previous prime is 21221123301947. The next prime is 21221123302051. The reversal of 21221123302033 is 33020332112212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21221123302033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21221123301989 and 21221123302007.

It is not an unprimeable number, because it can be changed into a prime (21221123302933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66747238 + ... + 67064416.

It is an arithmetic number, because the mean of its divisors is an integer number (1385615420280).

Almost surely, 2^{21221123302033} is an apocalyptic number.

21221123302033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21221123302033 is a deficient number, since it is larger than the sum of its proper divisors (948723422447).

21221123302033 is a wasteful number, since it uses less digits than its factorization.

21221123302033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320616.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 21221123302033 its reverse (33020332112212), we get a palindrome (54241455414245).

The spelling of 21221123302033 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty-three million, three hundred two thousand, thirty-three".